Combining Like Terms and Distributing Negatives

The video tutorial explains how to simplify algebraic expressions by distributing negative numbers and combining like terms. It emphasizes the importance of recognizing negative signs and correctly distributing them across terms within parentheses. The tutorial also demonstrates the process of combining like terms to simplify expressions further, ensuring that the order of terms does not affect the final result.

What does the negative sign attached to the number 4 indicate in the distribution process?

• It is distributed as a negative value to each term.

• It is ignored during distribution.

• It converts the 4 into a positive number.

• It indicates subtraction of the entire product.

What is the effect of distributing negative values across terms?

• It subtracts the terms.

• It multiplies each term by -1.

• It adds a negative sign to each term.

• It has no effect on the terms.

What is the result of multiplying negative 4 by negative 1x?

• Negative 4x

• Negative 5x

• Positive 5x

• Positive 4x

How do you combine the terms -6x and 4x?

• 2x

• -2x

• 10x

• -10x

What does combining like terms involve?

• Dividing each term by the variable.

• Adding coefficients of similar variables.

• Subtracting all terms.

• Multiplying coefficients.

What is the simplified form of the expression after combining like terms and constants?

• 16 + 2x

• 2x + 16

• -2x - 16

• -16 - 2x

What does distributing a negative 10 into the terms 10 and -1x result in?

• 100 and -10x

• -100 and +10x

• 100 and +10x

• -100 and -10x

What is the result of subtracting 5 and adding 4x when distributing a negative 1?

• -5 and +4x

• +5 and +4x

• -5 and -4x

• +5 and -4x

How do you combine the coefficients of 10x and 4x?

• -6x

• 14x

• -14x

• 6x

What is the final simplified form of the second expression?

• -105 + 14x

• 14x - 105

• -105 - 14x

• 105 + 14x